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Finding the Fourth Proportional to 328,809.71, 493,228.23 and 104,165.17

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Solution

The fourth proportional to 328,809.71, 493,228.23 and 104,165.17 is: 156,252.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,809.71 : 493,228.23 = 104,165.17 : x
  2. Step 2: Convert to fraction form
    328,809.71/493,228.23 = 104,165.17/x
  3. Step 3: Cross multiply
    328,809.71x = 493,228.23 × 104,165.17
  4. Step 4: Simplify right side
    328,809.71x = 51,377,199,878.26
  5. Step 5: Solve for x
    x = 51,377,199,878.26/328,809.71
  6. Step 6: Final answer
    x = 156,252.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.